*Quadrilateral ABCD is an isosceles trapezium AB ll CD. If ∠ D = 72⁰ then find measure of ∠ C ?*
1️⃣ 108⁰
2️⃣ 72⁰
3️⃣ 62⁰
4️⃣ 100⁰
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Answer:
In Quardrilateral ABCD
ANGLE D=72
THEN FIND ANGLE C
Construction:draw line parallel to AD from B towards DC
NOW,ABED is a parallelogram
therefore angle BEC =72(Corresponding angles)
and BE=BC
therfore,angle c is also 72 degree
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